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21706080 = 2535114111
BaseRepresentation
bin101001011001…
…1010101100000
31111211210010220
41102303111200
521024043310
62053123040
7352333014
oct122632540
944753126
1021706080
1111286110
127329480
13465cb46
142c50544
151d8b670
hex14b3560

21706080 has 96 divisors (see below), whose sum is σ = 74608128. Its totient is φ = 5260800.

The previous prime is 21706079. The next prime is 21706081. The reversal of 21706080 is 8060712.

It is an interprime number because it is at equal distance from previous prime (21706079) and next prime (21706081).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 21706080.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21706081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3225 + ... + 7335.

It is an arithmetic number, because the mean of its divisors is an integer number (777168).

Almost surely, 221706080 is an apocalyptic number.

21706080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21706080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37304064).

21706080 is an abundant number, since it is smaller than the sum of its proper divisors (52902048).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21706080 is a wasteful number, since it uses less digits than its factorization.

21706080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4140 (or 4132 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 21706080 is about 4658.9784287975. The cubic root of 21706080 is about 278.9504928794.

Adding to 21706080 its reverse (8060712), we get a palindrome (29766792).

The spelling of 21706080 in words is "twenty-one million, seven hundred six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 4111 5280 8222 12333 16444 20555 24666 32888 41110 45221 49332 61665 65776 82220 90442 98664 123330 131552 135663 164440 180884 197328 226105 246660 271326 328880 361768 394656 452210 493320 542652 657760 678315 723536 904420 986640 1085304 1356630 1447072 1808840 1973280 2170608 2713260 3617680 4341216 5426520 7235360 10853040 21706080